Excited state TBA and renormalized TCSA in the scaling Potts model

M. Lencsés, G. Takács

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new thermodynamic Bethe Ansatz (TBA) system for the excited state spectrum in finite volume. For the TCSA we investigate and clarify several aspects of the renormalization procedure and counter term construction. The TBA system is first verified by comparing its ultraviolet limit to conformal field theory and the infrared limit to exact S matrix predictions. We then show that the TBA and the renormalized TCSA match each other to a very high precision for a large range of the volume parameter, providing both a further verification of the TBA system and a demonstration of the efficiency of the TCSA renormalization procedure. We also discuss the lessons learned from our results concerning recent developments regarding the low-energy scattering of quasi-particles in the quantum Potts spin chain.

Original languageEnglish
Article number52
JournalJournal of High Energy Physics
Volume2014
Issue number9
DOIs
Publication statusPublished - 2014

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scaling
thermodynamics
excitation
lessons learned
elementary excitations
counters
matrices
predictions
scattering
energy

Keywords

  • Bethe Ansatz
  • Exact S-Matrix
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Excited state TBA and renormalized TCSA in the scaling Potts model. / Lencsés, M.; Takács, G.

In: Journal of High Energy Physics, Vol. 2014, No. 9, 52, 2014.

Research output: Contribution to journalArticle

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